Three angles add up to 180 degrees, angle one has a measure of 8x+8, angle two has a measure of 8x+8 and angle three has a measure of 2x+8.

Given that the sum of the angles is 180 degrees, what is the measure of angle one? Round your answer to the hundredths place IE 79.50.

Answers

Answer 1

The first angle will be 77.33°.

How to calculate the angle?

It should be noted that the total angles will be 180°.

This will be illustrated as:

8x + 8 + 8x + 8 + 2x + 8 = 180

18x + 24 = 180

18x = 180 - 24

18x = 156

x = 8.667

The first angle will be

= 8x +8

= 8(8.667) + 8

= 77.33°

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Related Questions

What is the LCM of 10 and four

Answers

The least common multiple of 10 and 4 is 20.

L.C.M is defined as Least Common multiple. The Least Common multiple of two numbers is the least possible number that can be divisible by both the numbers. Or, in simple words, the least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

We need to find the L.C.M of two numbers which are 10 and 4

First we will find out few multiples of 10 and 4which are:

       multiples of 10 : 10,20,30,40,50,60,70,80.....

       multiples of 4 : 4,8,12,16,20,24,28,32,36,40,......

Then we will filter out the common multiple.

common are : 20 and 40

From these two number the least number is 20.

Hence the least common multiple of 10 and 4 is 20.

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Solve the absolute value equation or indicate that the equation has no solution. |x-5|=4

Answers

Step-by-step explanation:

bzjdfj7wirrididuwir9e8woao23893

about how many days did it take for the bag to be empty

Answers

Answer:4 to 5 times a day

Step-by-step explanation:

determine how many different possibilities for two-digit numbers 1,5,3,6,9

Answers

Answer:

Step-by-step explanation:

unit place can be selected in ways=5

ten's place can be selected in ways=5

total numbers=5×5=25

but if the numbers at two places is different then number of ways=5×4=20

How do I do this? A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible number of matches played when four players are left?

Answers

When only 4 players remain, the fewest number of matches that can be played is 37.

What do we mean by algebra?Algebra is one of the many branches of mathematics. Algebra, in broad terms, is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a thread that runs through almost all of mathematics.

Given information:

The total number of players in the tournament is 117.number of players to be eliminated after losing three matches = 1, number of matches played when only four players remain = n

When only four players remain, the smallest number of matches that can be played is calculated as follows:

117 - 1(3n) = 4117 - 3n = 43n = 117 - 43n = 113

Now, divide both sides by 3 as follows:

n = 113/3n = 37.67n ≈ 37 matches

Therefore, when only 4 players remain, the fewest number of matches that can be played is 37.

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Brayden is saving up to buy a new video game. He already has $25 and can save an
additional $5 per week using money from his after school job. How much total money
would Brayden have after 4 weeks of saving? Also, write an expression that represents the amount of money Brayden would have saved in w weeks.


Total savings after 4 weeks:
Total savings after w weeks:

Answers

Answer:

After 4 weeks: $45, After w weeks: 5w + 25

Step-by-step explanation:

5 per week is 20 for 4 weeks. $25 + $20 = $45.

5w is 5 times the week. +25 because he had 25 to begin with. 5w+25.

Bro I am so tired it’s 10 pm and I literally do not know what to do for this question if any of you know what to do please solve it

Answers

Answer:

x = 1, x = 4

Step-by-step explanation:

First, let x = u^(2/3)

The problem given has a third power and also a 1.5 power. That is just oof! So choosing "u to the 2/3 power" to substitute in for x will make this equation be a straightforward quadratic that you can factor and solve.

see image.

Substitute

x = u^(2/3)

This gives you:

u^2 - 9u + 8 = 0

Factor.

(u - 1)(u - 8) = 0

Solve.

u-1 = 0 and u-8=0

u = 1 and u = 8

Substitute back into

x = u^(2/3)

x = 1^(2/3) and

x = 8^(2/3)

Remember some exponent rules and definitions. The 2 in the 2/3 will square the base number and the 3 (actually 1/3) will cuberoot the base number. See image. Hope this helps.

What's the answer? How do you get to the answer?

Answers

scale factor of triangle is 20/7 = 2.8571 .

How can I figure out the scale factor of a triangle?

To get the scale factor of two triangles, follow these steps:

1. Check that the two triangles are similar.

2-If the triangles are similar, identify the sides that match.

3. Subtract any known angle from the triangle and multiply the result by the matching (also known) angle in the second triangle.

As a result,

4- the scale factor is equalized by the division.

CALCULATION

∵ To find scale factor of two triangle we divide the sides of the both sides

∴ the scale factor of triangle given will be 20/7 = 2.8571 .

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Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?

Answers

The length of the square in centimetres in algebraic expression is 25m

How to find the side length of a square?

The perimeter of a square is m meters.

The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:

Therefore,

perimeter of a square = 4l

where

l = side length

Therefore,

m = 4l

where

m = perimeter of the square

l = m / 4 meters.

Therefore, the side length of the square in centimetres is as follows:

1 meters = 100 cm

m / 4 meters  = ?

cross multiply

length of the square in meters = m / 4 × 100

length of the square in meters = 100m / 4

length of the square in meters = 25m

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A robot can complete 7 tasks in 4 5 hour. Each task takes the same amount of time. a. How long does it take the robot to complete one​ task? b. How many tasks can the robot complete in one​ hour?

Answers

a. It takes the robot 4/35 hour to complete one tasks

b. The number of tasks the robot can complete in one hour is 8 3/4 tasks

Proportion

From the question, we are to determine how long it takes the robot to complete one task

From the given information,

A robot can complete 7 tasks in 4/5 hour

If the robot can complete 7 tasks in 4/5 hour

Then,

The robot will complete 1 task in 4/5 ÷ 7 hour

4/5 ÷ 7

= 4/5 × 1/7

= 4/35  

Hence, it takes the robot 4/35 hour to complete one tasks

b.

Let the number of tasks the robot can complete in one hour be x

If the robot can complete 7 tasks in 4/5 hour

Then,

The robot will complete x tasks in 1 hour

4/5 × x = 7 × 1

4/5 × x = 7

4 × x = 7 × 5

4x = 35

x = 35/4

x = 8 3/4

Hence, the number of tasks the robot can complete in one hour is 8 3/4 tasks

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Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.

Answers

Answer: 23100 voters

Step-by-step explanation:

42*55000=2310000

2310000/100=23100 voters

Find two factors of the first number such that their product is the first and the sum is the second for 51,20

Answers

The factors are 17 and 3.

The given conditions are two factors of the first number, 51 such that their product is 51 and the sum is the second number 20.
let say, the factors are x and y.

therefore, we can write, x.y = 51 ... (1)  and x + y = 20 .... (2)

Putting  the value of x from equation (2) in  equation (1) we get,

(20 - y).y = 51

or, 20y - y² = 51

or, y² - 20y + 51 = 0

or, y = 17, 3

then x = 3,17

Therefore, The factors are 17 and 3.

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QUESTION 6
A product costing 60 cents per unit to produce had been selling at the average rate of 1,200,000 units per month. After the product was improved, sales increased to an average of 2,000,000 units per month. However, the new product cost five percent more to produce. If the manufacturer's selling price in each instance was 75 cents per unit, what was the manufacturer's added profit per month with the newer product?
O, a. $20,000
O b. $240,000
• c. One cannot tell from the information given.
O d. $60,000
O e. $200,000

Answers

Thus the profit of the manufacturer is 240000$ per month

It is given that a product costing 60 cents per unit to produce had been selling at the average rate of 1,200,000 units per month.

After the product was improved, sales increased to an average of 2,000,000 units per month.

It is also given that the new product cost five percent more to produce.

If the manufacturer's selling price in each instance was 75 cents per unit, We are required to find what was the manufacturer's added profit per month with the newer product.

Cost price is the price which the manufacturer pays for each unit

It is given that the cost price of new version is 5 percent more than the previous one.

Thus, the cost price of each unit of product = 60 cents +5 percent of 60 cents = 60+5/100*60=63 cents

It is also given that selling price of each unit is 75 cents

Profit=selling price- cost price

        = 75-63= 12 cents

Thus, total profit on selling the 2000000 products= 2000000x12cents

Now we know that 100 cents = 1 dollar

Thus the profit in dollars will be = 2000000*12/100=240000

Thus the profit of the manufacturer is 240000$ per month

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A bag with 10 marbles has 3 blue marbles, 2 red marbles, and marbles, and 5 yellow marbles A marble is chosen from the bag at random.what is the probability that it is blue

Answers

Answer:
10 Probability of blue is 2/10%

Step-by-step explanation:

3/10 blue—30%
2/10 red—20%
5/10 yellow—50%

Simplify the expression (-6-3i)(5+6i)

Answers

Answer:

-12 - 51i

Step-by-step explanation:

[tex]original:(-6-3i)*(5+6i)\\FOIL:(-6)(5)+(-6)(6i)+(-3)(5)+(-3i)(6i)\\Multiply:(-30)+(-36i)+(-15i)+(18i^2)\\Combine\ Like\ Terms:(-30) + (-51i)+(-18i^2)\\i^2\ =\ -1:(-30)+(-51i)+(-18)(-1)\\Multiply:(-30)+(-51i)+(18)\\Combine\ Like\ Terms:(-12) + (-51i)\\Simplify:-12-51i[/tex]

Thing to remember:

[tex]i = \sqrt{-1} \\i^2 = \sqrt{-1}*\sqrt{-1} = \sqrt{-1}^2 = -1\\i^3 = \sqrt{-1}*\sqrt{-1}*\sqrt{-1} = i^2 * i = (-1)*i = -i\\i^4 = \sqrt{-1}*\sqrt{-1}*\sqrt{-1}*\sqrt{-1} = \sqrt{-1}^2*\sqrt{-1}^2 = (-1)*(-1) = 1\\[/tex]

And all powers over 4 repeat such that [tex]i^x\ such\ that\ x\mod4 = y[/tex] is the same as [tex]i^y\\[/tex]:

i.e.:

[tex]i^6 = i^{4+2}= i^4*i^2 = 1*-1 = -1\\\\i^9 = i^{4+4+1}=i^4*i^4*i^1=(1)(1)(i) = i[/tex]

NOTE: x mod 4 simply means the remainder when x is divided by 4.

i.e.:

[tex]7\mod4 = 3\\8\mod4 = 0\\13\mod4 = 1[/tex]

f(x) = 3x + 2
f(4) = ?

Answers

Answer:

3x+2 = 14.12

f(4) = 0

Answer: EVALUATE

3x+8f

f(x)=3x+2f(4)=

Multiply 2 and 4 to get 8.

3x+8f

DIFFERENTIATE W.R.T. X

3

Step-by-step explanation:

If AC = 31 and BC = 6, then AB

Answers

The measure of segment AB from the given question is 25

Addition postulate

In line geometry, a line is the distance between two points while an angle is the point where two lines intersect.

Given the following parameters

AC = 31

BC = 6

Required

AB

Using the addition postulate

AB + BC = AC

Substitute

AB = AC - BC

AB =  31 - 6

AB = 25

Hence the measure of segment AB from the given question is 25

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12. When Bruce started bowling, he won
7
of the games he played. Within six months,
he was winning of his games. If he
improves at the same rate, what fraction
16
of his games should he expect to win after
another six months?

Answers

Answer:

I think the answer is 7/16 hope it's correct

Pakisagot po if function po ito o hindi Brainleist is award

Answers

check image for answer po

How long does it take to ride a bicycle 100 miles at each of the following speeds: 5 mph, 10 mph, 15 mph, 20 mph, 25 mph? What is always true about the product speed x time?

Answers

Answer:

5 mph ⇒ 20 h10 mph ⇒ 10 h15 mph ⇒ 6 2/3 h20 mph ⇒ 5 h25 mph ⇒ 4 h

  speed × time = 100 miles

Step-by-step explanation:

The graph shows an inverse relation between speed and time. You want to know what is true about the product of speed and time.

Inversely proportional

Two quantities are inversely proportional when one is proportional to the inverse of the other. A constant of proportionality will be involved. The relation can be written ...

  y = k(1/x)

where x and y are the quantities inversely related, and k is the constant of proportionality.

Application

In the present case, we have a graph of the relation ...

  time = distance/speed

where the distance is 100 miles.

Comparing this to the above inverse proportion relation, we see that "distance" is the constant of proportionality (k):

  time = (100 miles)/speed

The times at various speeds are ...

5 mph ⇒ 20 h10 mph ⇒ 10 h15 mph ⇒ 6 2/3 h20 mph ⇒ 5 h25 mph ⇒ 4 h

Multiplying both sides of this equation by speed, we get ...

  speed × time = speed × (100 miles)/speed

  speed × time = 100 miles

The product of speed and time is always 100 miles in this scenario.

Represent the values of x in interval notation:
x can be any real number between 5 and
I
Points possible: 10
This is attempt 1 of 1.
Submit
-
3 or any real number greater than or equal to 22.
Use "oo" for infinity.
License

Answers

Interval notation

(-5,-3) U [22,00)

Interval notation in mathematics is a method to represent an interval of a number on the number line. In simpler words, interval notation is a way of writing subsets of the real number line .

• An interval comprises of the numbers lying between two specific given numbers. For example a set of numbers lying between 0 and 3 is an interval that contains 1,2.The way to represent interval notation is by using square bracket or round brackets, square brackets for both value included and round brackets for both value not included.

We are given that x is a real number which lies between -3 and -5 or any real number greater than or equal to 22

Firstly, x lies between -3 and -5

-5< x <-3

x = (-5,-3)

Secondly, x is greater than 22

x>=22

x = [22,00)

Interval notation

(-5,-3) U [22,00)

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Su mei is looking at online classified ads. she finds a used cell phone for US$99 plus US$30 for shipping. The same cell phone cost C$199 new at a local store. a) what is the total cost of the used cell phone in canadian dollars. b) Do you think Su Mei should buy the cell phone online why

Answers

The total cost of the used cell phone in Canadian dollars is C$130.16.

Su Mei should buy the used cell phone because it is cheaper than the new cell phone.

Which phone should Su Mei buy?

The exchange rate is the rate at which one unit of a currency is exchanged for another currency. For example, if the exchange rate of the US dollar and the Canadian dollars is 1.00903. It means that 1 unit of the US dollar would buy 1.00903 of the Canadian dollars.

The first step is to determine the total cost of the used cell phone in US dollar. The total cost would be the sum of the used cell phone and the shipping cost.

Total cost of the used cell phone = $99 + $30 = $129

The next step is to convert the cost of the used cell phone that is priced in the US dollar to Canadian dollars.

129 x 1.00903 = $130.16

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make y the subject =x^(2)-2yz

Answers

The expression with the y subject is y=(x²-w)/2z.

Given that,

The expression is x²-2yz

We have to express in the y as subject

In algebraic formulations, numbers are represented by letters or alphabets without their numerical values being specified. The fundamentals of algebra taught us how to represent an unknown value using letters like x, y, and z. Here, these letters are referred to as variables. A mathematical expression may have both variables and constants. A coefficient is any value that is introduced before and increased by a variable.

Let take w= x²-2yz

2yz=x²-w

Divide the equation by 2z.

2yz/2z=(x²-w)/2z

y=(x²-w)/2z

Therefore, The expression with the y subject is y=(x²-w)/2z.

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The largest fish ever caught in lake a Weighed 651 pounds. This is 95.4 pounds less than six times the weight of the largest fish ever caught in lake B find the weight of the largest fish caught in lake b?

Answers

Answer:

124.4 pounds

Step-by-step explanation:

We have:

651 + 95.4 = 6.B

=> 746.4 = 6.B

=> B = 746.4/6

=> B = 124.4

100 points answer all don't troll, and answer them right if you know it.

last question says Which dilation has a scale factor of 1/3

Answers

Answer:

4) Larger/smaller, Size

5) Whichever are larger then the original, depends on if green or blue is original

Step-by-step explanation:


A bottle of Vitamin E contains 100 soft gels, each containing 15 mg of vitamin E. How many total
grams of vitamin E are in this bottle?

Answers

Answer:

1.5 g are in that bottle.

Step-by-step explanation:

100 soft gels × 15 mg each = 1500 mg of vit. E

1500 mg = 1.5 g

1.5 would be the answer

What is the value of the function at x=−2?

Answers

Answer:

See below

Step-by-step explanation:

Look for where the vertical line x = -2 crosses the graph.....the value is shown below.....

if 8/9 is multiplied by 3/7 will the product be greater than either of the 2 factors

Answers

If 8/9 is multiplied by 3/7 then the product will not be greater than either of the two factors.

According to the question

on multiplying 8/9 by 3/7 we get

=8/9*3/7

=(8*3)/(9*7)

=24/63

=0.38095         ...(i)

On comparing it with two factors,

8/9 = 0.88888         .....(ii)

and

3/7 = 0.42857        ......(iii)

As we can see that on comparing equation (i) with equation (ii) and

equation (i) with equation (iii)    , we get that the product of 8/9 and 3/7 is less than both 8/9 and 3/7 .

Therefore , if 8/9 is multiplied by 3/7 then the product will not be greater than either of the two factors.

The given question is incomplete , the complete question is

If 8/9 is multiplied by 3/7 , will the product be greater than either of the 2 factors ?

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Michael is using a number line to evaluate the expression –8 – 3.
After locating –8 on the number line, which step could Michael complete to evaluate the expression?

Answers

The next step that Michael could use to evaluate the expression is count 3 units to the left of -8

Which step could Michael complete to evaluate the expression?

The expression is given as

-8 - 3

The first step is given as

Locating –8 on the number line

The other term of the expression is a negative number i.e. -3

This means that Michael needs to count 3 units to the left of the first number

Hence, the next step that Michael could use to evaluate the expression is count 3 units to the left of -8

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Some of the 20th century's biggest market shifts were sparked by technological breakthroughs that impacted market _____ curves.

Answers

Some of the 20th century's biggest market shifts were sparked by technological breakthroughs that impacted market supply curves.

What is the supply curve?

The supply curve illustrates the relationship between the price of an item or service and the volume delivered over a specific time period.

In a typical scenario, the amount supplied will be shown on the horizontal axis and the price will be shown on the left vertical axis.

It should be noted that some of the 20th century's biggest market shifts were sparked by technological breakthroughs that impacted market supply curves.

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